The generalized hill problem. Case of an external field of force deriving from a central potential     

B. Chauvineau 《Celestial Mechanics and Dynamical Astronomy》1991,51(2):119-129

The purpose of this paper is to investigate the generalization of Hill's problem by using a central field of force deriving from a potential, not restricted to Newton's inverse square law. We establish the equations of motion, determine the equilibrium positions along with their linear stability.  相似文献   

Horizon problem and inflation     

T. Padmanabhan  T. R. Seshadri 《Journal of Astrophysics and Astronomy》1987,8(4):275-280

We show that, the part of the universe that is observable today (in principle), could not have evolved out of a domain which was causally connected in the past. This and other issues related to horizon problem in inflationary models are discussed.  相似文献   

Extremal bounds on geotherms in eroding mountain belts from metamorphic pressure-temperature conditions     

Marcia McNutt  Leigh Royden 《Geophysical Journal International》1987,88(1):81-95

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Nonintegrability Detected from Geometrically Similar Orbits     

G. Bozis  E. Meletlidou 《Celestial Mechanics and Dynamical Astronomy》1997,68(4):335-346

H. Yoshida’s criterion of nonintegrability is restated in the light of the inverse problem of dynamics. It is shown that, given a monoparametric family of geometrically similar orbits, one may be able to assert nonintegrability of all or some homogeneous potentials of integer degreem (≠ 0, ± 2)which can produce this family. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   

河南省水资源状况及对策研究     

魏秀琴 《河南国土资源》1996,(1)

本文论述了河南省水资源分布状况及开发利用现状，依据地下水动态长期监测资料，指出了地下水开采利用中出现的一些环境水文地质问题，并提出了相应的对策。  相似文献   

Tame and chaotic behavior in the planar isosceles 3-body problem     

Florin Nicolae Diacu 《Celestial Mechanics and Dynamical Astronomy》1990,50(4):313-324

We show that every planar isosceles solution of the three-body problem encounters a collision of the symmetric particles, either forwards or backwards in time. Regularizing analytically this collision, the solution has at least a syzygy configuration and/or leads to a total collapse. Some further simple results support the intuitive image on the tame local behavior of the motion as long as it does not lead to a triple collision. As a main result we prove that total collapse singularities, can be regularized in aC ¹-fashion with respect to time, for all values of the masses. Using symbolic dynamics, the chaotic character of theC ¹-regularized solutions is pointed out.  相似文献   

A numerical investigation of the one-dimensional Newtonian three-body problem     

Seppo Mikkola  Jarmo Hietarinta 《Celestial Mechanics and Dynamical Astronomy》1991,51(4):379-394

The one-dimensional Newtonian three-body problem is known to have stable (quasi-)periodic orbits when the masses are equal. The existence and size of the stable region is discussed here in the case where the three masses are arbitrary. We consider only the stability of the periodic (generalized) Schubart's (1956) orbit. If this orbit is linearly stable it is almost always surrounded by a region of stable quasi-periodic orbits and the size and shape of this stable region depends on the masses. The three-dimensional linear stability of the periodic orbits is also determined. Final results show that the region of stability has a complicated shape and some of the stable regions in the mass-plane are quite narrow. The non-linear three-dimensional stability is studied independently by extensive numerical integrations and the results are found to be in agreement with the linear stability analysis. The boundaries of stable region in the mass-plane are given in terms of polynomial approximations. The results are compared with a similar work by Héenon (1977).We thank the referee for pointing out this reference to us.  相似文献   

A search for collision orbits in the free-fall three-body problem I. Numerical procedure     

Kiyotaka Tanikawa  Hiroaki Umehara  Hiroshi Abe 《Celestial Mechanics and Dynamical Astronomy》1995,62(4):335-362

A numerical procedure is devised to find binary collision orbits in the free-fall three-body problem. Applying this procedure, families of binary collision orbits are found and a sequence of triple collision orbits are positioned. A property of sets of binary collision orbits which is convenient to search triple collision orbits is found. Important numerical results are formulated and summarized in the final section.  相似文献   

Planar motions of a charged particle in a magnetic-binary system with spherical or oblate primaries     

T. J. Kalvouridis 《Celestial Mechanics and Dynamical Astronomy》1994,58(4):309-315

In this paper we present for the first time simple symmetric motions in the planar magnetic-binary problem where both primaries are spherical bodies or oblate spheroids. From the study of this case it follows that there is a dense and complicated distribution of the families of such motions in the phase space. Our results also show that the orbital characteristics of the particle and the configuration of the phase space are appreciably affected by the oblateness of the primaries only if these parameters become sufficiently large.  相似文献   

地下水资源管理模型在应用中的问题     

齐登红 《河南国土资源》1994,(1)

本文总结出地下水资源管理模型实际应用中存在的三大问题：第一，管理模型建立自身存在问题；第二，模型研制者和决策管理者合作不够；第三，地下水资源管理比较混乱。对三大问题进行了详细的论述，并提出了解决问题采取的措施。  相似文献